5284800381100 has 144 divisors (see below), whose sum is σ = 12167952451200. Its totient is φ = 1989014917120.

The previous prime is 5284800381079. The next prime is 5284800381151. The reversal of 5284800381100 is 11830084825.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31674696 + ... + 31841104.

It is an arithmetic number, because the mean of its divisors is an integer number (84499669800).

Almost surely, 2^{5284800381100} is an apocalyptic number.

5284800381100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5284800381100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6083976225600).

5284800381100 is an abundant number, since it is smaller than the sum of its proper divisors (6883152070100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5284800381100 is a wasteful number, since it uses less digits than its factorization.

5284800381100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166732 (or 166725 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The spelling of 5284800381100 in words is "five trillion, two hundred eighty-four billion, eight hundred million, three hundred eighty-one thousand, one hundred".